Graphing Linear Equations and Functions

The video tutorial explains how to graph the linear equation y = 3/2x - 3 by creating a table of values. It demonstrates selecting random X values, calculating corresponding Y values, and plotting these points on a coordinate axis. The tutorial concludes by connecting the points to form a straight line, illustrating the graph of the equation.

What is the first step in graphing the equation y = 3/2x - 3?

• Drawing a straight line

• Creating a table of values

• Calculating the slope

• Plotting random points on the graph

Which x-values were chosen to calculate the corresponding y-values?

• 0, 1, 2, 3, 4

• -3, -2, -1, 0, 1

• -2, -1, 0, 1, 2

• -1, 0, 1, 2, 3

What is the y-value when x = -2 for the equation y = 3/2x - 3?

• -3

• -6

• 0

• 3

How is the expression 3/2 * -1 - 3 simplified?

• -3/2

• -6

• -1/2

• -9/2

What is the y-value when x = 0 for the equation y = 3/2x - 3?

• -3

• -3/2

• 0

• 3/2

What is the y-value when x = 1 for the equation y = 3/2x - 3?

• 0

• -3/2

• 3/2

• 1

What is the y-value when x = 2 for the equation y = 3/2x - 3?

• -3

• 1

• 0

• 3

What is the scale used on the coordinate axis for plotting?

• Each tick mark represents 1 unit

• Each tick mark represents 2 units

• Each tick mark represents 3 units

• Each tick mark represents 4 units

Where is the point (-2, -6) plotted on the graph?

• Left 2, Up 6

• Right 2, Down 6

• Left 2, Down 6

• Right 2, Up 6

What shape do the plotted points form on the graph?

• A circle

• A parabola

• A straight line

• A curve